Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2930/43,9327/331
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 2930,9327
Greatest Common Factor of Numerators i.e. GCF of 2930,9327 is 1 .
LCM of Denominators means LCM of 43,331 as per the given fractions.
LCM of 43,331 is 14233 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2930,9327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2930
List of positive integer factors of 2930 that divides 2930 without a remainder.
1,2,5,10,293,586,1465,2930
Factors of 9327
List of positive integer factors of 9327 that divides 9327 without a remainder.
1,3,3109,9327
Greatest Common Factor
We found the factors 2930,9327 . The biggest common factor number is the GCF number.
So the greatest common factor 2930,9327 is 1.
Lets's calculate LCM of 43,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 14233
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14233
Therefore, the GCF of Fractions 2930/43,9327/331 is 1/14233
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 43,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,331) x common factors =1 x 1 = 1
LCM(43,331) = ( 43 × 331 ) / 1
LCM(43,331) = 14233 / 1
LCM(43,331) = 14233
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 2930/43, 9327/331?
Answer: GCF of Numerators as per given numbers 2930/43, 9327/331 is
GCF of Numerators i.e. for 2930,9327 is 1
LCM of denominators i.e. for 43,331 is 14233.
Thus, GCF of Fractions is 1/14233.Finally, GCF of Fractions for 2930/43, 9327/331 is 1/14233.